2009/03/12 by E. Bogomolny, R. Dubertrand, C. Schmit · 14 citations
Mathematics · Physics and Astronomy · #Chaotic #Computer science #Integrable system #Mathematical physics #Mathematics #Matrix (chemical analysis) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Physics #Quantum #Quantum chaos #Quantum chaos and dynamical systems #Quantum mechanics #Standard map #Statistical physics #Statistics #nlin.CD #nlin.SI
paper · pdf · doi:10.1088/0951-7715/22/9/003
published in Nonlinearity 22(9), 2101-2126 (IOP Publishing)
arxiv created 2009/03/12 · openalex publication_date 2009/07/21 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is well established numerically that spectral statistics of pseudo-integrable models differs considerably from the reference statistics of integrable and chaotic systems. In Bogomolny and Schmit (2004 Phys. Rev. Lett. 93 254102) statistical properties of a certain quantized pseudo-integrable map had been calculated analytically but only for a special sequence of matrix dimensions. The purpose of this paper is to obtain the spectral statistics of the same quantum map for all matrix dimensions.